Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology

2005/06/30 by Christoph Bergbauer, Dirk Kreimer
Mathematics · Physics and Astronomy · #hep-th #math.QA

paper · pdf

published as IRMA Lect.Math.Theor.Phys. 10 (2006) 133-164 · 29 pages, eps figures; minor changes; final version

arxiv created 2006/10/20 · arxiv updated 2009/12/01

Abstract

In this review we discuss the relevance of the Hochschild cohomology of renormalization Hopf algebras for local quantum field theories and their equations of motion.

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